Question
Download Solution PDF९ आणि १३ प्रत्येक संख्येतून कोणती लहानतम धन संख्या वजा करावी जेणेकरून त्यांचा तिसरा समानुपाती १८ असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले:
१८ हा तिसरा समानुपाती आहे.
वापरलेली संकल्पना:
१. जर A : B :: C : D तर (B x C) = (A x D)
२. (a - b)2 = a2 - 2ab + b2
गणना:
सर्वात लहान धन संख्या Q असू द्या.
समानुपात असे होते (९ - Q) : (१३ - Q) : : (१३ - Q) : १८.
प्रश्नानुसार,
(१३ - Q)2 = (९ - Q) x १८
⇒ १६९ + Q2 - २६Q = १६२ - १८Q
⇒ Q2 - ८Q + ७ = ०
⇒ (Q - ७)(Q - १) = ०
म्हणून, लहानतम संख्या = Q = १
∴ लहानतम संख्या १ आहे.
Last updated on Jul 19, 2025
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